impulse train

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impulse train

[′im‚pəls ‚trān]
(control systems)
An input consisting of an infinite series of unit impulses, equally separated in time.
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The inverse Fourier transform of such a Dirac comb is itself another Dirac comb, only this time in the time domain, and a Dirac comb in the time domain is a sampling signal [4].
This link between a Dirac comb in the frequency domain and a corresponding Dirac comb in the time domain means that if ever we observe a set of harmonics in some natural process there must inevitably be some form of sampling process taking place in the time domain and vice versa.
ii) The right-hand side of (13) may be interpreted as a weighted Dirac comb or III-function.
Finally, we considered univariate splines of complex order as solutions Of certain linear fractional differential operators and a Dirac comb series.